Combination of Abstractions in the ASTRÉE Static Analyzer

  • Patrick Cousot
  • Radhia Cousot
  • Jérôme Feret
  • Laurent Mauborgne
  • Antoine Miné
  • David Monniaux
  • Xavier Rival
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4435)

Abstract

We describe the structure of the abstract domains in the Astrée static analyzer, their modular organization into a hierarchical network, their cooperation to over-approximate the conjunction/reduced product of different abstractions and to ensure termination using collaborative widenings and narrowings. This separation of the abstraction into a combination of cooperative abstract domains makes Astrée extensible, an essential feature to cope with false alarms and ultimately provide sound formal verification of the absence of runtime errors in very large software.

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References

  1. 1.
    Cousot, P., Cousot, R.: Abstract interpretation: a unified lattice model for static analysis of programs by construction or approximation of fixpoints. In: 4th ACM POPL, pp. 238–252 (1977)Google Scholar
  2. 2.
    Cousot, P., Cousot, R.: Abstract interpretation frameworks. Journal of Logic and Computation 2, 511–547 (1992)MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    Blanchet, B., Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., Monniaux, D., Rival, X.: Design and implementation of a special-purpose static program analyzer for safety-critical real-time embedded software, invited chapter. In: Mogensen, T., Schmidt, D., Sudborough, I. (eds.) The Essence of Computation. LNCS, vol. 2566, pp. 85–108. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  4. 4.
    Blanchet, B., Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., Monniaux, D., Rival, X.: A static analyzer for large safety-critical software. In: Proc. ACM SIGPLAN ’2003 Conf, PLDI, San Diego, pp. 196–207. ACM Press, New York (2003)Google Scholar
  5. 5.
    Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., Monniaux, D., Rival, X.: The ASTRÉE analyzer. In: Sagiv, M. (ed.) Proc. 14th ESOP ’2005, Edinburgh, 4–8 Apr. 2005. LNCS 3444, pp. 21–30. Springer, Heidelberg (2005)Google Scholar
  6. 6.
    Mauborgne, L.: ASTRÉE: Verification of absence of run-time error. In: Jacquart, P. (ed.) Building the Information Society, pp. 385–392. Kluwer Academic Publishers, Dordrecht (2004)CrossRefGoogle Scholar
  7. 7.
    Miné, A.: Field-sensitive value analysis of embedded C programs with union types and pointer arithmetics. In: Proc. LCTES 2006. Ottawa, Ontario, Canada, 14–16 June 2006, pp. 54–63. ACM Press, New York (2006)Google Scholar
  8. 8.
    Monniaux, D.: The parallel implementation of the ASTRÉE static analyzer. In: Yi, K. (ed.) APLAS 2005. LNCS, vol. 3780, Springer, Heidelberg (2005)CrossRefGoogle Scholar
  9. 9.
    Cousot, P., Cousot, R.: Static determination of dynamic properties of programs. In: Proceedings of the Second International Symposium on Programming, Paris, France, Dunod, Paris, France, pp. 106–130 (1976)Google Scholar
  10. 10.
    Miné, A.: Symbolic methods to enhance the precision of numerical abstract domains. In: Emerson, E.A., Namjoshi, K.S. (eds.) VMCAI 2006. LNCS, vol. 3855, pp. 348–363. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  11. 11.
    Miné, A.: The octagon abstract domain. Higher-Order and Symbolic Computation 19, 31–100 (2006)CrossRefMATHGoogle Scholar
  12. 12.
    Feret, J.: Static analysis of digital filters. In: Schmidt, D. (ed.) ESOP 2004. LNCS, vol. 2986, pp. 33–48. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  13. 13.
    Feret, J.: The arithmetic-geometric progression abstract domain. In: Cousot, R. (ed.) VMCAI 2005. LNCS, vol. 3385, pp. 2–58. Springer, Heidelberg (2005)Google Scholar
  14. 14.
    Mauborgne, L., Rival, X.: Trace partitioning in abstract interpretation based static analyzers. In: Sagiv, M. (ed.) ESOP 2005. LNCS, vol. 3444, pp. 21–30. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  15. 15.
    Cousot, P., Cousot, R.: Systematic design of program analysis frameworks. In: 6th ACM POPL, pp. 269–282 (1979)Google Scholar
  16. 16.
    Leroy, X., Doligez, D., Garrigue, J., Rémy, D., Vouillon, J.: The Objective Caml system, documentation and user’s manual (release 3.06). Technical report, INRIA, Rocquencourt, France (2002)Google Scholar
  17. 17.
    Miné, A.: The octagon abstract domain library (2006), www.di.ens.fr/~mine/oct/
  18. 18.
    ANSI/ISO: Programming languages – C. (1999) Standard ISO/IEC 9899:1999(E)Google Scholar
  19. 19.
    Henzinger, T.A., Jhala, R., Majumdar, R., Sutre, G.: Software verification with BLAST. In: Ball, T., Rajamani, S.K. (eds.) Model Checking Software. LNCS, vol. 2648, pp. 235–239. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  20. 20.
    Cousot, P.: Verification by abstract interpretation, invited chapter. In: Dershowitz, N. (ed.) Verification: Theory and Practice. LNCS, vol. 2772, pp. 243–268. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  21. 21.
    Cousot, P.: The calculational design of a generic abstract interpreter, invited chapter. In: Broy, M., Steinbrüggen, R. (eds.) Calculational System Design. NATO Science Series, Series F: Computer and Systems Sciences, vol. 173, pp. 421–505. IOS Press, Amsterdam (1999)Google Scholar
  22. 22.
    Miné, A.: Relational abstract domains for the detection of floating-point run-time errors. In: Schmidt, D. (ed.) ESOP 2004. LNCS, vol. 2986, pp. 3–17. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  23. 23.
    Cousot, P.: MIT course 16.399: Abstract Interpretation (2005), http://web.mit.edu/afs/athena.mit.edu/course/16/16.399/www/

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Patrick Cousot
    • 2
  • Radhia Cousot
    • 1
  • Jérôme Feret
    • 2
  • Laurent Mauborgne
    • 2
  • Antoine Miné
    • 2
  • David Monniaux
    • 1
    • 2
  • Xavier Rival
    • 2
  1. 1.Centre National de la Recherche Scientifique (CNRS)France
  2. 2.École Normale Supérieure, ParisFrance

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